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12331142070 = 23513376114009
BaseRepresentation
bin10110111101111111…
…00100101110110110
31011211101012220212120
423132333210232312
5200223233021240
65355335100410
7614401656342
oct133677445666
934741186776
1012331142070
115258676605
122481811706
131216947390
1484d9ba622
154c2881ad0
hex2defe4bb6

12331142070 has 128 divisors (see below), whose sum is σ = 33271620480. Its totient is φ = 2904698880.

The previous prime is 12331142039. The next prime is 12331142071. The reversal of 12331142070 is 7024113321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12331142070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331142071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873226 + ... + 887234.

It is an arithmetic number, because the mean of its divisors is an integer number (259934535).

Almost surely, 212331142070 is an apocalyptic number.

12331142070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331142070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635810240).

12331142070 is an abundant number, since it is smaller than the sum of its proper divisors (20940478410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12331142070 is a wasteful number, since it uses less digits than its factorization.

12331142070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 12331142070 its reverse (7024113321), we get a palindrome (19355255391).

The spelling of 12331142070 in words is "twelve billion, three hundred thirty-one million, one hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 61 65 74 78 111 122 130 183 185 195 222 305 366 370 390 481 555 610 793 915 962 1110 1443 1586 1830 2257 2379 2405 2886 3965 4514 4758 4810 6771 7215 7930 11285 11895 13542 14009 14430 22570 23790 28018 29341 33855 42027 58682 67710 70045 84054 88023 140090 146705 176046 182117 210135 293410 364234 420270 440115 518333 546351 854549 880230 910585 1036666 1092702 1554999 1709098 1821170 2563647 2591665 2731755 3109998 4272745 5127294 5183330 5463510 6738329 7774995 8545490 11109137 12818235 13476658 15549990 20214987 22218274 25636470 31618313 33327411 33691645 40429974 55545685 63236626 66654822 67383290 94854939 101074935 111091370 158091565 166637055 189709878 202149870 316183130 333274110 411038069 474274695 822076138 948549390 1233114207 2055190345 2466228414 4110380690 6165571035 12331142070